I'm trying to rotate a tesseract in 4D space for a project.
This shows I can use bivectors to "to generate rotations in four dimensions." Following exterior algebra and finding the wedge product, I've managed to get a 6D vector that supposedly describes my 4D rotation. This is great, except I have no idea how to use the 6D vector to rotate my 4D object.
I've looked at many links but none describe how to actually do the rotation using the wedge product. I'd like to stay away from matrix rotations.
- Rotating a 4 dimensional point?
- https://arxiv.org/pdf/1408.5799.pdf
- https://arxiv.org/pdf/1103.5263.pdf
- https://en.wikipedia.org/wiki/Rotations_in_4-dimensional_Euclidean_space
- https://en.wikipedia.org/wiki/Bivector#Four_dimensions
- http://eusebeia.dyndns.org/4d/vis/10-rot-1
How can I use the 6D vector to rotate the 4D object?